| 基于非线性规划解的双圆柱螺线样条的局部构造 |
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| 引用本文： | 陈动人,王国瑾.基于非线性规划解的双圆柱螺线样条的局部构造[J].工程图学学报,2000,21(3):76-82. |
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| 作者姓名： | 陈动人 王国瑾 |
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| 作者单位： | 1. 浙江大学CAD&CG国家重点实验室
2. 浙江大学数学系 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金，国家重点基础科研973项目资助 |
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| 摘 要： | 给出基于非线性规划解的双圆柱螺线样条局部构造法，把平面几何样条－双圆弧样条推广到常曲率和常挠率的空间几何样条。一对G^1拼接的圆柱螺线段可插值空间两端点位矢和单位切矢，且可适应不同的设计要求，如逼近在双圆柱螺线段两端点处的主法矢，使曲线光顺等。本方法在数控加工和显示中有良好的应用前景。
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| 关 键 词： | 几何样条 圆柱螺线 双圆弧 端点插值 非线性规划 样条逼近 |
LOCALLY CONSTRUCTING DOUBLE CYLINDRICAL HELIX SPLINE BASED ON THE SOLVING NONLINEAR OPTIMIZATION PROBLEMS |
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| Chen Dongren,Chen Dongren.LOCALLY CONSTRUCTING DOUBLE CYLINDRICAL HELIX SPLINE BASED ON THE SOLVING NONLINEAR OPTIMIZATION PROBLEMS[J].Journal of Engineering Graphics,2000,21(3):76-82. |
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| Authors: | Chen Dongren Chen Dongren |
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| Affiliation: | Chen Dongren State Key Laboratory of CAD & CG,Zhejiang University Wang Guojin Department of Mathematics,Zhejiang University |
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| Abstract: | A local construction of double cylindrical helix spline is given based on the solving nonlinear optimization. A planar geometric spline, biarc spline, is generalized to a 3D geometric spline whose curvature and torsion are all constant. A pair of cylindrical helix splines which are G1-jointed can interpolate two given end-points and their tangents, and fit several needs of design, such as to approximate two end-points normal directions of the double cylindrical helix segment, to smooth resulting curves, etc. This method can apply to the NC-manufacture and NC-display. |
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| Keywords: | geometric spline cylindrical helix biarc end-points interpolation |
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